312147711720 has 384 divisors, whose sum is σ = 1175689209600. Its totient is φ = 73494660096.

The previous prime is 312147711719. The next prime is 312147711767. The reversal of 312147711720 is 27117741213.

312147711720 is a `hidden beast` number, since 3 + 12 + 1 + 477 + 1 + 172 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4160782 + ... + 4235138.

It is an arithmetic number, because the mean of its divisors is an integer number (3061690650).

Almost surely, 2^312147711720 is an apocalyptic number.

312147711720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312147711720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587844604800).

312147711720 is an abundant number, since it is smaller than the sum of its proper divisors (863541497880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312147711720 is a wasteful number, since it uses less digits than its factorization.

312147711720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74426 (or 74403 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 312147711720 in words is "three hundred twelve billion, one hundred forty-seven million, seven hundred eleven thousand, seven hundred twenty".